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Finding the Fourth Proportional to 897.44, 1,345.44 and 409.76

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Solution

The fourth proportional to 897.44, 1,345.44 and 409.76 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.44 : 1,345.44 = 409.76 : x
  2. Step 2: Convert to fraction form
    897.44/1,345.44 = 409.76/x
  3. Step 3: Cross multiply
    897.44x = 1,345.44 × 409.76
  4. Step 4: Simplify right side
    897.44x = 551,307.49
  5. Step 5: Solve for x
    x = 551,307.49/897.44
  6. Step 6: Final answer
    x = 614.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.